Search a number
-
+
2243200432 = 241115184407
BaseRepresentation
bin1000010110110100…
…1000010110110000
312210022222101111111
42011231020112300
514043224403212
61010331323104
7106405613644
oct20555102660
95708871444
102243200432
11a51256760
125272b0494
13299978b45
14173cc4c24
15d1e01ea7
hex85b485b0

2243200432 has 40 divisors (see below), whose sum is σ = 4772765952. Its totient is φ = 1012872000.

The previous prime is 2243200423. The next prime is 2243200433. The reversal of 2243200432 is 2340023422.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2243200433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15628 + ... + 68779.

Almost surely, 22243200432 is an apocalyptic number.

2243200432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2243200432 is an abundant number, since it is smaller than the sum of its proper divisors (2529565520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2243200432 is a wasteful number, since it uses less digits than its factorization.

2243200432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84577 (or 84571 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

The square root of 2243200432 is about 47362.4369305466. The cubic root of 2243200432 is about 1309.0493718980.

Adding to 2243200432 its reverse (2340023422), we get a palindrome (4583223854).

The spelling of 2243200432 in words is "two billion, two hundred forty-three million, two hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 151 176 302 604 1208 1661 2416 3322 6644 13288 26576 84407 168814 337628 675256 928477 1350512 1856954 3713908 7427816 12745457 14855632 25490914 50981828 101963656 140200027 203927312 280400054 560800108 1121600216 2243200432